Some puzzles requiring no knowledge of knot theory, just a careful inspection of the patterns. A glimpse of the classification of knots and a little about prime knots, crossing numbers and. . . .
This is a simple version of an ancient game played all over the world. It is also called Mancala. What tactics will increase your chances of winning?
Can you discover whether this is a fair game?
This article for teachers describes several games, found on the site, all of which have a related structure that can be used to develop the skills of strategic planning.
A collection of games on the NIM theme
Got It game for an adult and child. How can you play so that you know you will always win?
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
To avoid losing think of another very well known game where the patterns of play are similar.
A game for 2 players
Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.
Nim-7 game for an adult and child. Who will be the one to take the last counter?
A game for 2 players with similarities to NIM. Place one counter on each spot on the games board. Players take it is turns to remove 1 or 2 adjacent counters. The winner picks up the last counter.
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.
Can you work out how to win this game of Nim? Does it matter if you go first or second?
The aim of the game is to slide the green square from the top right hand corner to the bottom left hand corner in the least number of moves.
Can you explain the strategy for winning this game with any target?
This article invites you to get familiar with a strategic game called "sprouts". The game is simple enough for younger children to understand, and has also provided experienced mathematicians with. . . .
An article for teachers and pupils that encourages you to look at the mathematical properties of similar games.
A game for 2 players. Set out 16 counters in rows of 1,3,5 and 7. Players take turns to remove any number of counters from a row. The player left with the last counter looses.
A Sudoku with clues as ratios.
A game in which players take it in turns to try to draw quadrilaterals (or triangles) with particular properties. Is it possible to fill the game grid?
Can you beat the computer in the challenging strategy game?
Given the products of diagonally opposite cells - can you complete this Sudoku?
A game in which players take it in turns to turn up two cards. If they can draw a triangle which satisfies both properties they win the pair of cards. And a few challenging questions to follow...
Basic strategy games are particularly suitable as starting points for investigations. Players instinctively try to discover a winning strategy, and usually the best way to do this is to analyse. . . .
A Sudoku with a twist.
Slide the pieces to move Khun Phaen past all the guards into the position on the right from which he can escape to freedom.
Four numbers on an intersection that need to be placed in the surrounding cells. That is all you need to know to solve this sudoku.
This sudoku requires you to have "double vision" - two Sudoku's for the price of one
Have a go at this game which has been inspired by the Big Internet Math-Off 2019. Can you gain more columns of lily pads than your opponent?
This second Sudoku article discusses "Corresponding Sudokus" which are pairs of Sudokus with terms that can be matched using a substitution rule.
A game in which players take it in turns to choose a number. Can you block your opponent?
Add or subtract the two numbers on the spinners and try to complete a row of three. Are there some numbers that are good to aim for?
A game for 2 people. Take turns placing a counter on the star. You win when you have completed a line of 3 in your colour.
How good are you at estimating angles?
A Sudoku based on clues that give the differences between adjacent cells.
A Sudoku with a twist.
Play this game and see if you can figure out the computer's chosen number.
A game for 2 or more people, based on the traditional card game Rummy. Players aim to make two `tricks', where each trick has to consist of a picture of a shape, a name that describes that shape, and. . . .
Spiralling Decimals game for an adult and child. Can you get three decimals next to each other on the spiral before your partner?
A Sudoku with clues as ratios.
A game to make and play based on the number line.
This pair of linked Sudokus matches letters with numbers and hides a seasonal greeting. Can you find it?
Factors and Multiples game for an adult and child. How can you make sure you win this game?
Some Games That May Be Nice or Nasty for an adult and child. Use your knowledge of place value to beat your opponent.
A simple game of patience which often comes out. Can you explain why?
This game challenges you to locate hidden triangles in The White Box by firing rays and observing where the rays exit the Box.
Take turns to place a decimal number on the spiral. Can you get three consecutive numbers?
Can you spot the similarities between this game and other games you know? The aim is to choose 3 numbers that total 15.
The computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?